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Finding the Fourth Proportional to 3,718.65, 5,132.59 and 2,227.44

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Solution

The fourth proportional to 3,718.65, 5,132.59 and 2,227.44 is: 3,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.65 : 5,132.59 = 2,227.44 : x
  2. Step 2: Convert to fraction form
    3,718.65/5,132.59 = 2,227.44/x
  3. Step 3: Cross multiply
    3,718.65x = 5,132.59 × 2,227.44
  4. Step 4: Simplify right side
    3,718.65x = 11,432,530.70
  5. Step 5: Solve for x
    x = 11,432,530.70/3,718.65
  6. Step 6: Final answer
    x = 3,074.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.